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3 years ago

PLEASE HELP ASAP!

1 answer:

4 0

If you multiply the probability options together (the chance of getting any of the chocolates, any of the tea, any of the kinds of cookies and any of the kinds of crackers)... you get 1/600

The reason that you multiply is the probability is dependent on you getting those 4 exact options together

1/8 * 1/3 * 1/5 * 1/5 = 1/600 or about .00166

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Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a ga

Allushta [10]

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

Given: House location ( 4, 3 ) and Gas station location ( 10, 8)

On graph 1 unit = 1 mile.

To find: Distance between Gas Station and House

We use the Distance formula to find the distance between two points $(x_1,y_1)\:and\:(x_2,y_2)$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From given points and formula,

$Distance\:between\:house\:and\:gas\:station=\sqrt{(10-4)^2+(8-3)^2}$

= $\sqrt{(6)^2+(5)^2}$

= $\sqrt{36+25}$

= $\sqrt{61}$ units

Since, 1 unit = 1 mile

⇒ $\sqrt{61}\:unit=\sqrt{61}miles=7.81 miles$

Therefore, Distance between Gas Station and House = 7.81 miles.

5 0

3 years ago

Read 2 more answers

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc

hram777 [196]

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Further Explanation:

Given:

Carmen has $\$ 30$ in store bucks.

A $25\%$ discount coupon for a local department store.

The total amount should be less than $\$ 60$ before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has $\$ 30$ in store bucks.

The new amount will be $\left( {A - 30} \right).$

There is a $25\%$ discount coupon for a local department store.

The amount after discount can be calculated as follows,

$\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}$

The total amount should be less than $\$ 60$ before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

$\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}$

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

5 0

3 years ago

Read 2 more answers

Oak Street and Elm Street run parallel to each other. When Main Street

kozerog [31]

Answer:

110°

Step-by-step explanation:

The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).

Therefore:

∠4 and ∠6 are consecutive interior angles. Hence:

∠4 + ∠6 = 180° (sum of co-interior angles)

∠4 + 70 = 180

∠4 = 180 - 70

∠4 = 110°